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What is the hydraulic force needed to lift a car?

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What force must be applied to a small cylinder piston with a diameter of 0.32 m to lift a car weighing 12,000N that is supported by the piston in a large cylinder that has a diameter of 1.4m? Assume that there is a closed chamber in the common between the two pistons and that the chamber is filled with hydraulic oil.

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The hydraulic presses work on the principle that the pressure is the same in all points (if we neglect small differences in hight) and the pressure is the same in all directions.
Therefore if we know ...

Solution Summary

This solution provides the formula and step by step calculations for determining the requested force.